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Finding the Fourth Proportional to 56,313, 77,711.94 and 31,166.28

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Solution

The fourth proportional to 56,313, 77,711.94 and 31,166.28 is: 43,009.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,313 : 77,711.94 = 31,166.28 : x
  2. Step 2: Convert to fraction form
    56,313/77,711.94 = 31,166.28/x
  3. Step 3: Cross multiply
    56,313x = 77,711.94 × 31,166.28
  4. Step 4: Simplify right side
    56,313x = 2,421,992,081.38
  5. Step 5: Solve for x
    x = 2,421,992,081.38/56,313
  6. Step 6: Final answer
    x = 43,009.47

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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.