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Finding the Fourth Proportional to 56,498, 77,967.18 and 31,004.52

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Solution

The fourth proportional to 56,498, 77,967.18 and 31,004.52 is: 42,786.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,498 : 77,967.18 = 31,004.52 : x
  2. Step 2: Convert to fraction form
    56,498/77,967.18 = 31,004.52/x
  3. Step 3: Cross multiply
    56,498x = 77,967.18 × 31,004.52
  4. Step 4: Simplify right side
    56,498x = 2,417,334,991.65
  5. Step 5: Solve for x
    x = 2,417,334,991.65/56,498
  6. Step 6: Final answer
    x = 42,786.20

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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.