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Finding the Fourth Proportional to 122,574.06, 169,262.87 and 77,332.32

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Solution

The fourth proportional to 122,574.06, 169,262.87 and 77,332.32 is: 106,788.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,574.06 : 169,262.87 = 77,332.32 : x
  2. Step 2: Convert to fraction form
    122,574.06/169,262.87 = 77,332.32/x
  3. Step 3: Cross multiply
    122,574.06x = 169,262.87 × 77,332.32
  4. Step 4: Simplify right side
    122,574.06x = 13,089,490,040.30
  5. Step 5: Solve for x
    x = 13,089,490,040.30/122,574.06
  6. Step 6: Final answer
    x = 106,788.42

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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.