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Finding the Fourth Proportional to 56,358, 77,779.71 and 31,207.50

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Solution

The fourth proportional to 56,358, 77,779.71 and 31,207.50 is: 43,069.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,358 : 77,779.71 = 31,207.50 : x
  2. Step 2: Convert to fraction form
    56,358/77,779.71 = 31,207.50/x
  3. Step 3: Cross multiply
    56,358x = 77,779.71 × 31,207.50
  4. Step 4: Simplify right side
    56,358x = 2,427,310,299.83
  5. Step 5: Solve for x
    x = 2,427,310,299.83/56,358
  6. Step 6: Final answer
    x = 43,069.49

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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.