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Finding the Fourth Proportional to 180,561.61, 249,171.92 and 99,987.40

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Solution

The fourth proportional to 180,561.61, 249,171.92 and 99,987.40 is: 137,980.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,561.61 : 249,171.92 = 99,987.40 : x
  2. Step 2: Convert to fraction form
    180,561.61/249,171.92 = 99,987.40/x
  3. Step 3: Cross multiply
    180,561.61x = 249,171.92 × 99,987.40
  4. Step 4: Simplify right side
    180,561.61x = 24,914,051,187.95
  5. Step 5: Solve for x
    x = 24,914,051,187.95/180,561.61
  6. Step 6: Final answer
    x = 137,980.89

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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.