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Finding the Fourth Proportional to 56,160, 77,500.80 and 36,288

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Solution

The fourth proportional to 56,160, 77,500.80 and 36,288 is: 50,077.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,160 : 77,500.80 = 36,288 : x
  2. Step 2: Convert to fraction form
    56,160/77,500.80 = 36,288/x
  3. Step 3: Cross multiply
    56,160x = 77,500.80 × 36,288
  4. Step 4: Simplify right side
    56,160x = 2,812,349,030.40
  5. Step 5: Solve for x
    x = 2,812,349,030.40/56,160
  6. Step 6: Final answer
    x = 50,077.44

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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.