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Finding the Fourth Proportional to 180,722.09, 249,394.49 and 99,051

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Solution

The fourth proportional to 180,722.09, 249,394.49 and 99,051 is: 136,689.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,722.09 : 249,394.49 = 99,051 : x
  2. Step 2: Convert to fraction form
    180,722.09/249,394.49 = 99,051/x
  3. Step 3: Cross multiply
    180,722.09x = 249,394.49 × 99,051
  4. Step 4: Simplify right side
    180,722.09x = 24,702,773,133.74
  5. Step 5: Solve for x
    x = 24,702,773,133.74/180,722.09
  6. Step 6: Final answer
    x = 136,689.29

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1.5x scale

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.