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Finding the Fourth Proportional to 56,309.63, 77,709.71 and 31,159.13

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Solution

The fourth proportional to 56,309.63, 77,709.71 and 31,159.13 is: 43,000.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,309.63 : 77,709.71 = 31,159.13 : x
  2. Step 2: Convert to fraction form
    56,309.63/77,709.71 = 31,159.13/x
  3. Step 3: Cross multiply
    56,309.63x = 77,709.71 × 31,159.13
  4. Step 4: Simplify right side
    56,309.63x = 2,421,366,645.50
  5. Step 5: Solve for x
    x = 2,421,366,645.50/56,309.63
  6. Step 6: Final answer
    x = 43,000.94

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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.