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Finding the Fourth Proportional to 98,602.31, 147,903.46 and 90,048.71

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Solution

The fourth proportional to 98,602.31, 147,903.46 and 90,048.71 is: 135,073.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,602.31 : 147,903.46 = 90,048.71 : x
  2. Step 2: Convert to fraction form
    98,602.31/147,903.46 = 90,048.71/x
  3. Step 3: Cross multiply
    98,602.31x = 147,903.46 × 90,048.71
  4. Step 4: Simplify right side
    98,602.31x = 13,318,515,038.02
  5. Step 5: Solve for x
    x = 13,318,515,038.02/98,602.31
  6. Step 6: Final answer
    x = 135,073.06

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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.