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Finding the Fourth Proportional to 145,860, 201,286.98 and 78,792

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Solution

The fourth proportional to 145,860, 201,286.98 and 78,792 is: 108,733.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,860 : 201,286.98 = 78,792 : x
  2. Step 2: Convert to fraction form
    145,860/201,286.98 = 78,792/x
  3. Step 3: Cross multiply
    145,860x = 201,286.98 × 78,792
  4. Step 4: Simplify right side
    145,860x = 15,859,803,728.16
  5. Step 5: Solve for x
    x = 15,859,803,728.16/145,860
  6. Step 6: Final answer
    x = 108,733.06

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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.