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Finding the Fourth Proportional to 56,462.62, 77,918.40 and 31,312.12

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Solution

The fourth proportional to 56,462.62, 77,918.40 and 31,312.12 is: 43,210.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,462.62 : 77,918.40 = 31,312.12 : x
  2. Step 2: Convert to fraction form
    56,462.62/77,918.40 = 31,312.12/x
  3. Step 3: Cross multiply
    56,462.62x = 77,918.40 × 31,312.12
  4. Step 4: Simplify right side
    56,462.62x = 2,439,790,291.01
  5. Step 5: Solve for x
    x = 2,439,790,291.01/56,462.62
  6. Step 6: Final answer
    x = 43,210.72

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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.