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Finding the Fourth Proportional to 96,428.64, 133,070.22 and 53,987.16

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Solution

The fourth proportional to 96,428.64, 133,070.22 and 53,987.16 is: 74,501.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,428.64 : 133,070.22 = 53,987.16 : x
  2. Step 2: Convert to fraction form
    96,428.64/133,070.22 = 53,987.16/x
  3. Step 3: Cross multiply
    96,428.64x = 133,070.22 × 53,987.16
  4. Step 4: Simplify right side
    96,428.64x = 7,184,083,258.38
  5. Step 5: Solve for x
    x = 7,184,083,258.38/96,428.64
  6. Step 6: Final answer
    x = 74,501.55

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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.