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Finding the Fourth Proportional to 98,219, 147,332.14 and 31,660.08

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Solution

The fourth proportional to 98,219, 147,332.14 and 31,660.08 is: 47,491.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,219 : 147,332.14 = 31,660.08 : x
  2. Step 2: Convert to fraction form
    98,219/147,332.14 = 31,660.08/x
  3. Step 3: Cross multiply
    98,219x = 147,332.14 × 31,660.08
  4. Step 4: Simplify right side
    98,219x = 4,664,547,338.97
  5. Step 5: Solve for x
    x = 4,664,547,338.97/98,219
  6. Step 6: Final answer
    x = 47,491.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.