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Finding the Fourth Proportional to 56,432.93, 77,877.01 and 30,938.99

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Solution

The fourth proportional to 56,432.93, 77,877.01 and 30,938.99 is: 42,695.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,432.93 : 77,877.01 = 30,938.99 : x
  2. Step 2: Convert to fraction form
    56,432.93/77,877.01 = 30,938.99/x
  3. Step 3: Cross multiply
    56,432.93x = 77,877.01 × 30,938.99
  4. Step 4: Simplify right side
    56,432.93x = 2,409,435,489.54
  5. Step 5: Solve for x
    x = 2,409,435,489.54/56,432.93
  6. Step 6: Final answer
    x = 42,695.56

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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.