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Finding the Fourth Proportional to 130,522.61, 195,871.40 and 83,808.29

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Solution

The fourth proportional to 130,522.61, 195,871.40 and 83,808.29 is: 125,768.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,522.61 : 195,871.40 = 83,808.29 : x
  2. Step 2: Convert to fraction form
    130,522.61/195,871.40 = 83,808.29/x
  3. Step 3: Cross multiply
    130,522.61x = 195,871.40 × 83,808.29
  4. Step 4: Simplify right side
    130,522.61x = 16,415,645,695.51
  5. Step 5: Solve for x
    x = 16,415,645,695.51/130,522.61
  6. Step 6: Final answer
    x = 125,768.60

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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.