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Finding the Fourth Proportional to 180,460, 249,028.56 and 99,891.04

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Solution

The fourth proportional to 180,460, 249,028.56 and 99,891.04 is: 137,846.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,460 : 249,028.56 = 99,891.04 : x
  2. Step 2: Convert to fraction form
    180,460/249,028.56 = 99,891.04/x
  3. Step 3: Cross multiply
    180,460x = 249,028.56 × 99,891.04
  4. Step 4: Simplify right side
    180,460x = 24,875,721,848.10
  5. Step 5: Solve for x
    x = 24,875,721,848.10/180,460
  6. Step 6: Final answer
    x = 137,846.18

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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.