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Finding the Fourth Proportional to 98,503.71, 147,776.32 and 31,938.64

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Solution

The fourth proportional to 98,503.71, 147,776.32 and 31,938.64 is: 47,914.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,503.71 : 147,776.32 = 31,938.64 : x
  2. Step 2: Convert to fraction form
    98,503.71/147,776.32 = 31,938.64/x
  3. Step 3: Cross multiply
    98,503.71x = 147,776.32 × 31,938.64
  4. Step 4: Simplify right side
    98,503.71x = 4,719,775,119.40
  5. Step 5: Solve for x
    x = 4,719,775,119.40/98,503.71
  6. Step 6: Final answer
    x = 47,914.70

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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.