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Finding the Fourth Proportional to 10,109,978.60, 15,164,967.90 and 6,283,603.40

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Solution

The fourth proportional to 10,109,978.60, 15,164,967.90 and 6,283,603.40 is: 9,425,405.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,109,978.60 : 15,164,967.90 = 6,283,603.40 : x
  2. Step 2: Convert to fraction form
    10,109,978.60/15,164,967.90 = 6,283,603.40/x
  3. Step 3: Cross multiply
    10,109,978.60x = 15,164,967.90 × 6,283,603.40
  4. Step 4: Simplify right side
    10,109,978.60x = 95,290,643,857,330.88
  5. Step 5: Solve for x
    x = 95,290,643,857,330.88/10,109,978.60
  6. Step 6: Final answer
    x = 9,425,405.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.