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Finding the Fourth Proportional to 130,902, 180,645.12 and 74,322.24

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Solution

The fourth proportional to 130,902, 180,645.12 and 74,322.24 is: 102,564.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,902 : 180,645.12 = 74,322.24 : x
  2. Step 2: Convert to fraction form
    130,902/180,645.12 = 74,322.24/x
  3. Step 3: Cross multiply
    130,902x = 180,645.12 × 74,322.24
  4. Step 4: Simplify right side
    130,902x = 13,425,949,963.47
  5. Step 5: Solve for x
    x = 13,425,949,963.47/130,902
  6. Step 6: Final answer
    x = 102,564.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.