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Finding the Fourth Proportional to 271,641.16, 407,545.16 and 129,667.60

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Solution

The fourth proportional to 271,641.16, 407,545.16 and 129,667.60 is: 194,541.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,641.16 : 407,545.16 = 129,667.60 : x
  2. Step 2: Convert to fraction form
    271,641.16/407,545.16 = 129,667.60/x
  3. Step 3: Cross multiply
    271,641.16x = 407,545.16 × 129,667.60
  4. Step 4: Simplify right side
    271,641.16x = 52,845,402,788.82
  5. Step 5: Solve for x
    x = 52,845,402,788.82/271,641.16
  6. Step 6: Final answer
    x = 194,541.22

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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.