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Finding the Fourth Proportional to 157,291.61, 217,061.30 and 85,671.41

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Solution

The fourth proportional to 157,291.61, 217,061.30 and 85,671.41 is: 118,225.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,291.61 : 217,061.30 = 85,671.41 : x
  2. Step 2: Convert to fraction form
    157,291.61/217,061.30 = 85,671.41/x
  3. Step 3: Cross multiply
    157,291.61x = 217,061.30 × 85,671.41
  4. Step 4: Simplify right side
    157,291.61x = 18,595,946,756.31
  5. Step 5: Solve for x
    x = 18,595,946,756.31/157,291.61
  6. Step 6: Final answer
    x = 118,225.93

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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.