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Finding the Fourth Proportional to 78,962.16, 118,462.66 and 55,634.16

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Solution

The fourth proportional to 78,962.16, 118,462.66 and 55,634.16 is: 83,464.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,962.16 : 118,462.66 = 55,634.16 : x
  2. Step 2: Convert to fraction form
    78,962.16/118,462.66 = 55,634.16/x
  3. Step 3: Cross multiply
    78,962.16x = 118,462.66 × 55,634.16
  4. Step 4: Simplify right side
    78,962.16x = 6,590,570,580.47
  5. Step 5: Solve for x
    x = 6,590,570,580.47/78,962.16
  6. Step 6: Final answer
    x = 83,464.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.