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Finding the Fourth Proportional to 162,036, 243,041.76 and 56,862

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Solution

The fourth proportional to 162,036, 243,041.76 and 56,862 is: 85,288.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,036 : 243,041.76 = 56,862 : x
  2. Step 2: Convert to fraction form
    162,036/243,041.76 = 56,862/x
  3. Step 3: Cross multiply
    162,036x = 243,041.76 × 56,862
  4. Step 4: Simplify right side
    162,036x = 13,819,840,557.12
  5. Step 5: Solve for x
    x = 13,819,840,557.12/162,036
  6. Step 6: Final answer
    x = 85,288.70

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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.