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Finding the Fourth Proportional to 282,677.60, 423,967.80 and 105,093.20

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Solution

The fourth proportional to 282,677.60, 423,967.80 and 105,093.20 is: 157,621.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,677.60 : 423,967.80 = 105,093.20 : x
  2. Step 2: Convert to fraction form
    282,677.60/423,967.80 = 105,093.20/x
  3. Step 3: Cross multiply
    282,677.60x = 423,967.80 × 105,093.20
  4. Step 4: Simplify right side
    282,677.60x = 44,556,132,798.96
  5. Step 5: Solve for x
    x = 44,556,132,798.96/282,677.60
  6. Step 6: Final answer
    x = 157,621.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.