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Finding the Fourth Proportional to 159,064.31, 219,510.10 and 87,442.76

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Solution

The fourth proportional to 159,064.31, 219,510.10 and 87,442.76 is: 120,671.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,064.31 : 219,510.10 = 87,442.76 : x
  2. Step 2: Convert to fraction form
    159,064.31/219,510.10 = 87,442.76/x
  3. Step 3: Cross multiply
    159,064.31x = 219,510.10 × 87,442.76
  4. Step 4: Simplify right side
    159,064.31x = 19,194,569,649.95
  5. Step 5: Solve for x
    x = 19,194,569,649.95/159,064.31
  6. Step 6: Final answer
    x = 120,671.75

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1.5x scale

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.