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Finding the Fourth Proportional to 98,978.16, 136,613.64 and 56,561.44

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Solution

The fourth proportional to 98,978.16, 136,613.64 and 56,561.44 is: 78,068.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,978.16 : 136,613.64 = 56,561.44 : x
  2. Step 2: Convert to fraction form
    98,978.16/136,613.64 = 56,561.44/x
  3. Step 3: Cross multiply
    98,978.16x = 136,613.64 × 56,561.44
  4. Step 4: Simplify right side
    98,978.16x = 7,727,064,202.04
  5. Step 5: Solve for x
    x = 7,727,064,202.04/98,978.16
  6. Step 6: Final answer
    x = 78,068.38

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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.