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Finding the Fourth Proportional to 51,070.32, 70,471.98 and 31,946.40

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Solution

The fourth proportional to 51,070.32, 70,471.98 and 31,946.40 is: 44,082.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,070.32 : 70,471.98 = 31,946.40 : x
  2. Step 2: Convert to fraction form
    51,070.32/70,471.98 = 31,946.40/x
  3. Step 3: Cross multiply
    51,070.32x = 70,471.98 × 31,946.40
  4. Step 4: Simplify right side
    51,070.32x = 2,251,326,061.87
  5. Step 5: Solve for x
    x = 2,251,326,061.87/51,070.32
  6. Step 6: Final answer
    x = 44,082.87

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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.