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Finding the Fourth Proportional to 175,727, 242,547 and 100,319.24

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Solution

The fourth proportional to 175,727, 242,547 and 100,319.24 is: 138,465.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,727 : 242,547 = 100,319.24 : x
  2. Step 2: Convert to fraction form
    175,727/242,547 = 100,319.24/x
  3. Step 3: Cross multiply
    175,727x = 242,547 × 100,319.24
  4. Step 4: Simplify right side
    175,727x = 24,332,130,704.28
  5. Step 5: Solve for x
    x = 24,332,130,704.28/175,727
  6. Step 6: Final answer
    x = 138,465.52

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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.