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Finding the Fourth Proportional to 78,312.64, 108,072.48 and 42,503.08

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Solution

The fourth proportional to 78,312.64, 108,072.48 and 42,503.08 is: 58,654.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,312.64 : 108,072.48 = 42,503.08 : x
  2. Step 2: Convert to fraction form
    78,312.64/108,072.48 = 42,503.08/x
  3. Step 3: Cross multiply
    78,312.64x = 108,072.48 × 42,503.08
  4. Step 4: Simplify right side
    78,312.64x = 4,593,413,263.24
  5. Step 5: Solve for x
    x = 4,593,413,263.24/78,312.64
  6. Step 6: Final answer
    x = 58,654.81

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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.