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Finding the Fourth Proportional to 56,364, 77,779.20 and 31,211.52

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Solution

The fourth proportional to 56,364, 77,779.20 and 31,211.52 is: 43,070.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,364 : 77,779.20 = 31,211.52 : x
  2. Step 2: Convert to fraction form
    56,364/77,779.20 = 31,211.52/x
  3. Step 3: Cross multiply
    56,364x = 77,779.20 × 31,211.52
  4. Step 4: Simplify right side
    56,364x = 2,427,607,056.38
  5. Step 5: Solve for x
    x = 2,427,607,056.38/56,364
  6. Step 6: Final answer
    x = 43,070.17

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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.