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Finding the Fourth Proportional to 70,343.64, 105,423.93 and 53,642.25

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Solution

The fourth proportional to 70,343.64, 105,423.93 and 53,642.25 is: 80,393.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,343.64 : 105,423.93 = 53,642.25 : x
  2. Step 2: Convert to fraction form
    70,343.64/105,423.93 = 53,642.25/x
  3. Step 3: Cross multiply
    70,343.64x = 105,423.93 × 53,642.25
  4. Step 4: Simplify right side
    70,343.64x = 5,655,176,809.04
  5. Step 5: Solve for x
    x = 5,655,176,809.04/70,343.64
  6. Step 6: Final answer
    x = 80,393.58

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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.