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Finding the Fourth Proportional to 157,292, 217,061.80 and 85,671.80

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Solution

The fourth proportional to 157,292, 217,061.80 and 85,671.80 is: 118,226.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,292 : 217,061.80 = 85,671.80 : x
  2. Step 2: Convert to fraction form
    157,292/217,061.80 = 85,671.80/x
  3. Step 3: Cross multiply
    157,292x = 217,061.80 × 85,671.80
  4. Step 4: Simplify right side
    157,292x = 18,596,075,117.24
  5. Step 5: Solve for x
    x = 18,596,075,117.24/157,292
  6. Step 6: Final answer
    x = 118,226.45

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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.