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Finding the Fourth Proportional to 120,547.98, 180,812.52 and 45,661.32

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Solution

The fourth proportional to 120,547.98, 180,812.52 and 45,661.32 is: 68,488.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,547.98 : 180,812.52 = 45,661.32 : x
  2. Step 2: Convert to fraction form
    120,547.98/180,812.52 = 45,661.32/x
  3. Step 3: Cross multiply
    120,547.98x = 180,812.52 × 45,661.32
  4. Step 4: Simplify right side
    120,547.98x = 8,256,138,335.73
  5. Step 5: Solve for x
    x = 8,256,138,335.73/120,547.98
  6. Step 6: Final answer
    x = 68,488.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.