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Finding the Fourth Proportional to 205,154.29, 307,700.65 and 64,894.69

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Solution

The fourth proportional to 205,154.29, 307,700.65 and 64,894.69 is: 97,332.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,154.29 : 307,700.65 = 64,894.69 : x
  2. Step 2: Convert to fraction form
    205,154.29/307,700.65 = 64,894.69/x
  3. Step 3: Cross multiply
    205,154.29x = 307,700.65 × 64,894.69
  4. Step 4: Simplify right side
    205,154.29x = 19,968,138,294.55
  5. Step 5: Solve for x
    x = 19,968,138,294.55/205,154.29
  6. Step 6: Final answer
    x = 97,332.30

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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.