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Finding the Fourth Proportional to 70,085.69, 105,066.01 and 25,702.07

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Solution

The fourth proportional to 70,085.69, 105,066.01 and 25,702.07 is: 38,530.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,085.69 : 105,066.01 = 25,702.07 : x
  2. Step 2: Convert to fraction form
    70,085.69/105,066.01 = 25,702.07/x
  3. Step 3: Cross multiply
    70,085.69x = 105,066.01 × 25,702.07
  4. Step 4: Simplify right side
    70,085.69x = 2,700,413,943.64
  5. Step 5: Solve for x
    x = 2,700,413,943.64/70,085.69
  6. Step 6: Final answer
    x = 38,530.18

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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.