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Finding the Fourth Proportional to 76,287.68, 105,214.84 and 53,701.64

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Solution

The fourth proportional to 76,287.68, 105,214.84 and 53,701.64 is: 74,064.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,287.68 : 105,214.84 = 53,701.64 : x
  2. Step 2: Convert to fraction form
    76,287.68/105,214.84 = 53,701.64/x
  3. Step 3: Cross multiply
    76,287.68x = 105,214.84 × 53,701.64
  4. Step 4: Simplify right side
    76,287.68x = 5,650,209,460.34
  5. Step 5: Solve for x
    x = 5,650,209,460.34/76,287.68
  6. Step 6: Final answer
    x = 74,064.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.