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Finding the Fourth Proportional to 102,402.60, 153,603.90 and 66,973.20

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Solution

The fourth proportional to 102,402.60, 153,603.90 and 66,973.20 is: 100,459.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,402.60 : 153,603.90 = 66,973.20 : x
  2. Step 2: Convert to fraction form
    102,402.60/153,603.90 = 66,973.20/x
  3. Step 3: Cross multiply
    102,402.60x = 153,603.90 × 66,973.20
  4. Step 4: Simplify right side
    102,402.60x = 10,287,344,715.48
  5. Step 5: Solve for x
    x = 10,287,344,715.48/102,402.60
  6. Step 6: Final answer
    x = 100,459.80

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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.