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Finding the Fourth Proportional to 56,505.17, 77,980.78 and 31,354.67

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Solution

The fourth proportional to 56,505.17, 77,980.78 and 31,354.67 is: 43,271.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,505.17 : 77,980.78 = 31,354.67 : x
  2. Step 2: Convert to fraction form
    56,505.17/77,980.78 = 31,354.67/x
  3. Step 3: Cross multiply
    56,505.17x = 77,980.78 × 31,354.67
  4. Step 4: Simplify right side
    56,505.17x = 2,445,061,623.24
  5. Step 5: Solve for x
    x = 2,445,061,623.24/56,505.17
  6. Step 6: Final answer
    x = 43,271.47

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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.