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Finding the Fourth Proportional to 181,862.68, 250,978.32 and 101,290.24

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Solution

The fourth proportional to 181,862.68, 250,978.32 and 101,290.24 is: 139,784.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,862.68 : 250,978.32 = 101,290.24 : x
  2. Step 2: Convert to fraction form
    181,862.68/250,978.32 = 101,290.24/x
  3. Step 3: Cross multiply
    181,862.68x = 250,978.32 × 101,290.24
  4. Step 4: Simplify right side
    181,862.68x = 25,421,654,267.60
  5. Step 5: Solve for x
    x = 25,421,654,267.60/181,862.68
  6. Step 6: Final answer
    x = 139,784.89

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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.