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Finding the Fourth Proportional to 56,492.79, 77,957.45 and 30,998.54

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Solution

The fourth proportional to 56,492.79, 77,957.45 and 30,998.54 is: 42,776.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,492.79 : 77,957.45 = 30,998.54 : x
  2. Step 2: Convert to fraction form
    56,492.79/77,957.45 = 30,998.54/x
  3. Step 3: Cross multiply
    56,492.79x = 77,957.45 × 30,998.54
  4. Step 4: Simplify right side
    56,492.79x = 2,416,566,587.34
  5. Step 5: Solve for x
    x = 2,416,566,587.34/56,492.79
  6. Step 6: Final answer
    x = 42,776.55

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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.