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Finding the Fourth Proportional to 188,411.20, 260,013.12 and 103,528

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Solution

The fourth proportional to 188,411.20, 260,013.12 and 103,528 is: 142,871.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,411.20 : 260,013.12 = 103,528 : x
  2. Step 2: Convert to fraction form
    188,411.20/260,013.12 = 103,528/x
  3. Step 3: Cross multiply
    188,411.20x = 260,013.12 × 103,528
  4. Step 4: Simplify right side
    188,411.20x = 26,918,638,287.36
  5. Step 5: Solve for x
    x = 26,918,638,287.36/188,411.20
  6. Step 6: Final answer
    x = 142,871.75

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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.