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Finding the Fourth Proportional to 120,802.80, 181,031.40 and 83,823.60

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Solution

The fourth proportional to 120,802.80, 181,031.40 and 83,823.60 is: 125,615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,802.80 : 181,031.40 = 83,823.60 : x
  2. Step 2: Convert to fraction form
    120,802.80/181,031.40 = 83,823.60/x
  3. Step 3: Cross multiply
    120,802.80x = 181,031.40 × 83,823.60
  4. Step 4: Simplify right side
    120,802.80x = 15,174,703,661.04
  5. Step 5: Solve for x
    x = 15,174,703,661.04/120,802.80
  6. Step 6: Final answer
    x = 125,615.50

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1.5x scale

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.