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Finding the Fourth Proportional to 98,080, 135,352.56 and 53,368

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Solution

The fourth proportional to 98,080, 135,352.56 and 53,368 is: 73,649.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,080 : 135,352.56 = 53,368 : x
  2. Step 2: Convert to fraction form
    98,080/135,352.56 = 53,368/x
  3. Step 3: Cross multiply
    98,080x = 135,352.56 × 53,368
  4. Step 4: Simplify right side
    98,080x = 7,223,495,422.08
  5. Step 5: Solve for x
    x = 7,223,495,422.08/98,080
  6. Step 6: Final answer
    x = 73,649.02

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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.