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Finding the Fourth Proportional to 180,871.04, 249,605 and 100,301.92

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Solution

The fourth proportional to 180,871.04, 249,605 and 100,301.92 is: 138,418.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,871.04 : 249,605 = 100,301.92 : x
  2. Step 2: Convert to fraction form
    180,871.04/249,605 = 100,301.92/x
  3. Step 3: Cross multiply
    180,871.04x = 249,605 × 100,301.92
  4. Step 4: Simplify right side
    180,871.04x = 25,035,860,741.60
  5. Step 5: Solve for x
    x = 25,035,860,741.60/180,871.04
  6. Step 6: Final answer
    x = 138,418.29

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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.