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Finding the Fourth Proportional to 98,453.40, 147,461.40 and 85,331.40

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Solution

The fourth proportional to 98,453.40, 147,461.40 and 85,331.40 is: 127,807.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,453.40 : 147,461.40 = 85,331.40 : x
  2. Step 2: Convert to fraction form
    98,453.40/147,461.40 = 85,331.40/x
  3. Step 3: Cross multiply
    98,453.40x = 147,461.40 × 85,331.40
  4. Step 4: Simplify right side
    98,453.40x = 12,583,087,707.96
  5. Step 5: Solve for x
    x = 12,583,087,707.96/98,453.40
  6. Step 6: Final answer
    x = 127,807.55

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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.