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Finding the Fourth Proportional to 155,700, 214,866.24 and 88,632

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Solution

The fourth proportional to 155,700, 214,866.24 and 88,632 is: 122,312.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,700 : 214,866.24 = 88,632 : x
  2. Step 2: Convert to fraction form
    155,700/214,866.24 = 88,632/x
  3. Step 3: Cross multiply
    155,700x = 214,866.24 × 88,632
  4. Step 4: Simplify right side
    155,700x = 19,044,024,583.68
  5. Step 5: Solve for x
    x = 19,044,024,583.68/155,700
  6. Step 6: Final answer
    x = 122,312.30

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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.