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Finding the Fourth Proportional to 56,454.40, 77,911.84 and 31,312

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Solution

The fourth proportional to 56,454.40, 77,911.84 and 31,312 is: 43,213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,454.40 : 77,911.84 = 31,312 : x
  2. Step 2: Convert to fraction form
    56,454.40/77,911.84 = 31,312/x
  3. Step 3: Cross multiply
    56,454.40x = 77,911.84 × 31,312
  4. Step 4: Simplify right side
    56,454.40x = 2,439,575,534.08
  5. Step 5: Solve for x
    x = 2,439,575,534.08/56,454.40
  6. Step 6: Final answer
    x = 43,213.20

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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.