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Finding the Fourth Proportional to 145,152, 217,728.16 and 57,600

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Solution

The fourth proportional to 145,152, 217,728.16 and 57,600 is: 86,400.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,152 : 217,728.16 = 57,600 : x
  2. Step 2: Convert to fraction form
    145,152/217,728.16 = 57,600/x
  3. Step 3: Cross multiply
    145,152x = 217,728.16 × 57,600
  4. Step 4: Simplify right side
    145,152x = 12,541,142,016
  5. Step 5: Solve for x
    x = 12,541,142,016/145,152
  6. Step 6: Final answer
    x = 86,400.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.