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Finding the Fourth Proportional to 56,506.76, 77,981.76 and 31,356.26

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Solution

The fourth proportional to 56,506.76, 77,981.76 and 31,356.26 is: 43,272.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,506.76 : 77,981.76 = 31,356.26 : x
  2. Step 2: Convert to fraction form
    56,506.76/77,981.76 = 31,356.26/x
  3. Step 3: Cross multiply
    56,506.76x = 77,981.76 × 31,356.26
  4. Step 4: Simplify right side
    56,506.76x = 2,445,216,341.82
  5. Step 5: Solve for x
    x = 2,445,216,341.82/56,506.76
  6. Step 6: Final answer
    x = 43,272.99

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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.