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Finding the Fourth Proportional to 56,899.12, 78,534.84 and 34,561.84

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Solution

The fourth proportional to 56,899.12, 78,534.84 and 34,561.84 is: 47,703.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,899.12 : 78,534.84 = 34,561.84 : x
  2. Step 2: Convert to fraction form
    56,899.12/78,534.84 = 34,561.84/x
  3. Step 3: Cross multiply
    56,899.12x = 78,534.84 × 34,561.84
  4. Step 4: Simplify right side
    56,899.12x = 2,714,308,574.51
  5. Step 5: Solve for x
    x = 2,714,308,574.51/56,899.12
  6. Step 6: Final answer
    x = 47,703.88

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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.