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Finding the Fourth Proportional to 109,603.47, 164,308.01 and 53,412.15

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Solution

The fourth proportional to 109,603.47, 164,308.01 and 53,412.15 is: 80,070.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,603.47 : 164,308.01 = 53,412.15 : x
  2. Step 2: Convert to fraction form
    109,603.47/164,308.01 = 53,412.15/x
  3. Step 3: Cross multiply
    109,603.47x = 164,308.01 × 53,412.15
  4. Step 4: Simplify right side
    109,603.47x = 8,776,043,809.26
  5. Step 5: Solve for x
    x = 8,776,043,809.26/109,603.47
  6. Step 6: Final answer
    x = 80,070.86

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1.5x scale

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.