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Finding the Fourth Proportional to 96,978.12, 133,831.62 and 56,695.32

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Solution

The fourth proportional to 96,978.12, 133,831.62 and 56,695.32 is: 78,240.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,978.12 : 133,831.62 = 56,695.32 : x
  2. Step 2: Convert to fraction form
    96,978.12/133,831.62 = 56,695.32/x
  3. Step 3: Cross multiply
    96,978.12x = 133,831.62 × 56,695.32
  4. Step 4: Simplify right side
    96,978.12x = 7,587,626,522.02
  5. Step 5: Solve for x
    x = 7,587,626,522.02/96,978.12
  6. Step 6: Final answer
    x = 78,240.60

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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.