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Finding the Fourth Proportional to 56,677.50, 78,214.95 and 31,527

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Solution

The fourth proportional to 56,677.50, 78,214.95 and 31,527 is: 43,507.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,677.50 : 78,214.95 = 31,527 : x
  2. Step 2: Convert to fraction form
    56,677.50/78,214.95 = 31,527/x
  3. Step 3: Cross multiply
    56,677.50x = 78,214.95 × 31,527
  4. Step 4: Simplify right side
    56,677.50x = 2,465,882,728.65
  5. Step 5: Solve for x
    x = 2,465,882,728.65/56,677.50
  6. Step 6: Final answer
    x = 43,507.26

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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.