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Finding the Fourth Proportional to 56,497.50, 77,968.98 and 31,347

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Solution

The fourth proportional to 56,497.50, 77,968.98 and 31,347 is: 43,260.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,497.50 : 77,968.98 = 31,347 : x
  2. Step 2: Convert to fraction form
    56,497.50/77,968.98 = 31,347/x
  3. Step 3: Cross multiply
    56,497.50x = 77,968.98 × 31,347
  4. Step 4: Simplify right side
    56,497.50x = 2,444,093,616.06
  5. Step 5: Solve for x
    x = 2,444,093,616.06/56,497.50
  6. Step 6: Final answer
    x = 43,260.21

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1.5x scale

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.