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Finding the Fourth Proportional to 157,038.49, 216,713.76 and 85,418.95

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Solution

The fourth proportional to 157,038.49, 216,713.76 and 85,418.95 is: 117,878.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,038.49 : 216,713.76 = 85,418.95 : x
  2. Step 2: Convert to fraction form
    157,038.49/216,713.76 = 85,418.95/x
  3. Step 3: Cross multiply
    157,038.49x = 216,713.76 × 85,418.95
  4. Step 4: Simplify right side
    157,038.49x = 18,511,461,829.75
  5. Step 5: Solve for x
    x = 18,511,461,829.75/157,038.49
  6. Step 6: Final answer
    x = 117,878.50

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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.