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Finding the Fourth Proportional to 55,802.88, 77,012.84 and 30,657.24

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Solution

The fourth proportional to 55,802.88, 77,012.84 and 30,657.24 is: 42,309.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,802.88 : 77,012.84 = 30,657.24 : x
  2. Step 2: Convert to fraction form
    55,802.88/77,012.84 = 30,657.24/x
  3. Step 3: Cross multiply
    55,802.88x = 77,012.84 × 30,657.24
  4. Step 4: Simplify right side
    55,802.88x = 2,361,001,118.96
  5. Step 5: Solve for x
    x = 2,361,001,118.96/55,802.88
  6. Step 6: Final answer
    x = 42,309.66

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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.