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Finding the Fourth Proportional to 103,407.84, 142,404.48 and 98,683.92

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Solution

The fourth proportional to 103,407.84, 142,404.48 and 98,683.92 is: 135,899.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,407.84 : 142,404.48 = 98,683.92 : x
  2. Step 2: Convert to fraction form
    103,407.84/142,404.48 = 98,683.92/x
  3. Step 3: Cross multiply
    103,407.84x = 142,404.48 × 98,683.92
  4. Step 4: Simplify right side
    103,407.84x = 14,053,032,311.96
  5. Step 5: Solve for x
    x = 14,053,032,311.96/103,407.84
  6. Step 6: Final answer
    x = 135,899.10

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1.5x scale

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.