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Finding the Fourth Proportional to 98,160, 135,460.80 and 58,416

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Solution

The fourth proportional to 98,160, 135,460.80 and 58,416 is: 80,614.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,160 : 135,460.80 = 58,416 : x
  2. Step 2: Convert to fraction form
    98,160/135,460.80 = 58,416/x
  3. Step 3: Cross multiply
    98,160x = 135,460.80 × 58,416
  4. Step 4: Simplify right side
    98,160x = 7,913,078,092.80
  5. Step 5: Solve for x
    x = 7,913,078,092.80/98,160
  6. Step 6: Final answer
    x = 80,614.08

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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.