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Finding the Fourth Proportional to 98,080.64, 135,352.32 and 53,368.64

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Solution

The fourth proportional to 98,080.64, 135,352.32 and 53,368.64 is: 73,649.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,080.64 : 135,352.32 = 53,368.64 : x
  2. Step 2: Convert to fraction form
    98,080.64/135,352.32 = 53,368.64/x
  3. Step 3: Cross multiply
    98,080.64x = 135,352.32 × 53,368.64
  4. Step 4: Simplify right side
    98,080.64x = 7,223,569,239.24
  5. Step 5: Solve for x
    x = 7,223,569,239.24/98,080.64
  6. Step 6: Final answer
    x = 73,649.29

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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.