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Finding the Fourth Proportional to 130,689.76, 180,372 and 74,089.12

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Solution

The fourth proportional to 130,689.76, 180,372 and 74,089.12 is: 102,254.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,689.76 : 180,372 = 74,089.12 : x
  2. Step 2: Convert to fraction form
    130,689.76/180,372 = 74,089.12/x
  3. Step 3: Cross multiply
    130,689.76x = 180,372 × 74,089.12
  4. Step 4: Simplify right side
    130,689.76x = 13,363,602,752.64
  5. Step 5: Solve for x
    x = 13,363,602,752.64/130,689.76
  6. Step 6: Final answer
    x = 102,254.40

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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.