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Finding the Fourth Proportional to 111,468.42, 153,740.43 and 77,476.23

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Solution

The fourth proportional to 111,468.42, 153,740.43 and 77,476.23 is: 106,857.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,468.42 : 153,740.43 = 77,476.23 : x
  2. Step 2: Convert to fraction form
    111,468.42/153,740.43 = 77,476.23/x
  3. Step 3: Cross multiply
    111,468.42x = 153,740.43 × 77,476.23
  4. Step 4: Simplify right side
    111,468.42x = 11,911,228,914.98
  5. Step 5: Solve for x
    x = 11,911,228,914.98/111,468.42
  6. Step 6: Final answer
    x = 106,857.43

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1.5x scale

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.