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Finding the Fourth Proportional to 315,160.64, 472,742.04 and 78,502.88

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Solution

The fourth proportional to 315,160.64, 472,742.04 and 78,502.88 is: 117,754.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,160.64 : 472,742.04 = 78,502.88 : x
  2. Step 2: Convert to fraction form
    315,160.64/472,742.04 = 78,502.88/x
  3. Step 3: Cross multiply
    315,160.64x = 472,742.04 × 78,502.88
  4. Step 4: Simplify right side
    315,160.64x = 37,111,611,637.08
  5. Step 5: Solve for x
    x = 37,111,611,637.08/315,160.64
  6. Step 6: Final answer
    x = 117,754.59

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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.