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Finding the Fourth Proportional to 157,139.57, 216,848.44 and 85,518.05

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Solution

The fourth proportional to 157,139.57, 216,848.44 and 85,518.05 is: 118,012.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,139.57 : 216,848.44 = 85,518.05 : x
  2. Step 2: Convert to fraction form
    157,139.57/216,848.44 = 85,518.05/x
  3. Step 3: Cross multiply
    157,139.57x = 216,848.44 × 85,518.05
  4. Step 4: Simplify right side
    157,139.57x = 18,544,455,306.75
  5. Step 5: Solve for x
    x = 18,544,455,306.75/157,139.57
  6. Step 6: Final answer
    x = 118,012.64

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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.