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Finding the Fourth Proportional to 114,300, 157,734 and 64,000.08

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Solution

The fourth proportional to 114,300, 157,734 and 64,000.08 is: 88,320.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,300 : 157,734 = 64,000.08 : x
  2. Step 2: Convert to fraction form
    114,300/157,734 = 64,000.08/x
  3. Step 3: Cross multiply
    114,300x = 157,734 × 64,000.08
  4. Step 4: Simplify right side
    114,300x = 10,094,988,618.72
  5. Step 5: Solve for x
    x = 10,094,988,618.72/114,300
  6. Step 6: Final answer
    x = 88,320.11

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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.