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Finding the Fourth Proportional to 56,770.88, 78,267.48 and 39,752.24

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Solution

The fourth proportional to 56,770.88, 78,267.48 and 39,752.24 is: 54,804.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,770.88 : 78,267.48 = 39,752.24 : x
  2. Step 2: Convert to fraction form
    56,770.88/78,267.48 = 39,752.24/x
  3. Step 3: Cross multiply
    56,770.88x = 78,267.48 × 39,752.24
  4. Step 4: Simplify right side
    56,770.88x = 3,111,307,649.16
  5. Step 5: Solve for x
    x = 3,111,307,649.16/56,770.88
  6. Step 6: Final answer
    x = 54,804.64

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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.