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Finding the Fourth Proportional to 56,454, 77,909.04 and 31,303.44

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Solution

The fourth proportional to 56,454, 77,909.04 and 31,303.44 is: 43,200.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,454 : 77,909.04 = 31,303.44 : x
  2. Step 2: Convert to fraction form
    56,454/77,909.04 = 31,303.44/x
  3. Step 3: Cross multiply
    56,454x = 77,909.04 × 31,303.44
  4. Step 4: Simplify right side
    56,454x = 2,438,820,959.10
  5. Step 5: Solve for x
    x = 2,438,820,959.10/56,454
  6. Step 6: Final answer
    x = 43,200.14

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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.