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Finding the Fourth Proportional to 58,368, 80,547.84 and 31,872

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Solution

The fourth proportional to 58,368, 80,547.84 and 31,872 is: 43,983.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,368 : 80,547.84 = 31,872 : x
  2. Step 2: Convert to fraction form
    58,368/80,547.84 = 31,872/x
  3. Step 3: Cross multiply
    58,368x = 80,547.84 × 31,872
  4. Step 4: Simplify right side
    58,368x = 2,567,220,756.48
  5. Step 5: Solve for x
    x = 2,567,220,756.48/58,368
  6. Step 6: Final answer
    x = 43,983.36

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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.