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Finding the Fourth Proportional to 82,979.80, 114,421.54 and 56,075.64

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Solution

The fourth proportional to 82,979.80, 114,421.54 and 56,075.64 is: 77,323.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,979.80 : 114,421.54 = 56,075.64 : x
  2. Step 2: Convert to fraction form
    82,979.80/114,421.54 = 56,075.64/x
  3. Step 3: Cross multiply
    82,979.80x = 114,421.54 × 56,075.64
  4. Step 4: Simplify right side
    82,979.80x = 6,416,261,085.29
  5. Step 5: Solve for x
    x = 6,416,261,085.29/82,979.80
  6. Step 6: Final answer
    x = 77,323.17

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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.