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Finding the Fourth Proportional to 157,138.84, 216,856.43 and 89,158.65

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Solution

The fourth proportional to 157,138.84, 216,856.43 and 89,158.65 is: 123,041.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,138.84 : 216,856.43 = 89,158.65 : x
  2. Step 2: Convert to fraction form
    157,138.84/216,856.43 = 89,158.65/x
  3. Step 3: Cross multiply
    157,138.84x = 216,856.43 × 89,158.65
  4. Step 4: Simplify right side
    157,138.84x = 19,334,625,012.54
  5. Step 5: Solve for x
    x = 19,334,625,012.54/157,138.84
  6. Step 6: Final answer
    x = 123,041.67

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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.