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Finding the Fourth Proportional to 72,931.61, 109,415.88 and 20,341.08

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Solution

The fourth proportional to 72,931.61, 109,415.88 and 20,341.08 is: 30,516.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,931.61 : 109,415.88 = 20,341.08 : x
  2. Step 2: Convert to fraction form
    72,931.61/109,415.88 = 20,341.08/x
  3. Step 3: Cross multiply
    72,931.61x = 109,415.88 × 20,341.08
  4. Step 4: Simplify right side
    72,931.61x = 2,225,637,168.35
  5. Step 5: Solve for x
    x = 2,225,637,168.35/72,931.61
  6. Step 6: Final answer
    x = 30,516.77

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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.