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Finding the Fourth Proportional to 243,701.40, 365,552.10 and 77,506.20

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Solution

The fourth proportional to 243,701.40, 365,552.10 and 77,506.20 is: 116,259.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,701.40 : 365,552.10 = 77,506.20 : x
  2. Step 2: Convert to fraction form
    243,701.40/365,552.10 = 77,506.20/x
  3. Step 3: Cross multiply
    243,701.40x = 365,552.10 × 77,506.20
  4. Step 4: Simplify right side
    243,701.40x = 28,332,554,173.02
  5. Step 5: Solve for x
    x = 28,332,554,173.02/243,701.40
  6. Step 6: Final answer
    x = 116,259.30

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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.