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Finding the Fourth Proportional to 137,925.67, 190,332.12 and 77,498.86

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Solution

The fourth proportional to 137,925.67, 190,332.12 and 77,498.86 is: 106,945.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,925.67 : 190,332.12 = 77,498.86 : x
  2. Step 2: Convert to fraction form
    137,925.67/190,332.12 = 77,498.86/x
  3. Step 3: Cross multiply
    137,925.67x = 190,332.12 × 77,498.86
  4. Step 4: Simplify right side
    137,925.67x = 14,750,522,321.38
  5. Step 5: Solve for x
    x = 14,750,522,321.38/137,925.67
  6. Step 6: Final answer
    x = 106,945.45

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1.5x scale

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.