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Finding the Fourth Proportional to 52,341, 72,199.80 and 31,119

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Solution

The fourth proportional to 52,341, 72,199.80 and 31,119 is: 42,925.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,341 : 72,199.80 = 31,119 : x
  2. Step 2: Convert to fraction form
    52,341/72,199.80 = 31,119/x
  3. Step 3: Cross multiply
    52,341x = 72,199.80 × 31,119
  4. Step 4: Simplify right side
    52,341x = 2,246,785,576.20
  5. Step 5: Solve for x
    x = 2,246,785,576.20/52,341
  6. Step 6: Final answer
    x = 42,925.92

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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.