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Finding the Fourth Proportional to 122,970.34, 169,634.88 and 77,632

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Solution

The fourth proportional to 122,970.34, 169,634.88 and 77,632 is: 107,091.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,970.34 : 169,634.88 = 77,632 : x
  2. Step 2: Convert to fraction form
    122,970.34/169,634.88 = 77,632/x
  3. Step 3: Cross multiply
    122,970.34x = 169,634.88 × 77,632
  4. Step 4: Simplify right side
    122,970.34x = 13,169,095,004.16
  5. Step 5: Solve for x
    x = 13,169,095,004.16/122,970.34
  6. Step 6: Final answer
    x = 107,091.64

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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.