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Finding the Fourth Proportional to 56,531.80, 78,014.02 and 31,039.81

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Solution

The fourth proportional to 56,531.80, 78,014.02 and 31,039.81 is: 42,835.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,531.80 : 78,014.02 = 31,039.81 : x
  2. Step 2: Convert to fraction form
    56,531.80/78,014.02 = 31,039.81/x
  3. Step 3: Cross multiply
    56,531.80x = 78,014.02 × 31,039.81
  4. Step 4: Simplify right side
    56,531.80x = 2,421,540,358.14
  5. Step 5: Solve for x
    x = 2,421,540,358.14/56,531.80
  6. Step 6: Final answer
    x = 42,835.01

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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.