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Finding the Fourth Proportional to 207,275.40, 310,878.32 and 57,530.90

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Solution

The fourth proportional to 207,275.40, 310,878.32 and 57,530.90 is: 86,286.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,275.40 : 310,878.32 = 57,530.90 : x
  2. Step 2: Convert to fraction form
    207,275.40/310,878.32 = 57,530.90/x
  3. Step 3: Cross multiply
    207,275.40x = 310,878.32 × 57,530.90
  4. Step 4: Simplify right side
    207,275.40x = 17,885,110,029.63
  5. Step 5: Solve for x
    x = 17,885,110,029.63/207,275.40
  6. Step 6: Final answer
    x = 86,286.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.