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Finding the Fourth Proportional to 56,506.84, 77,979.90 and 31,356.76

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Solution

The fourth proportional to 56,506.84, 77,979.90 and 31,356.76 is: 43,272.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,506.84 : 77,979.90 = 31,356.76 : x
  2. Step 2: Convert to fraction form
    56,506.84/77,979.90 = 31,356.76/x
  3. Step 3: Cross multiply
    56,506.84x = 77,979.90 × 31,356.76
  4. Step 4: Simplify right side
    56,506.84x = 2,445,197,009.12
  5. Step 5: Solve for x
    x = 2,445,197,009.12/56,506.84
  6. Step 6: Final answer
    x = 43,272.58

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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.