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Finding the Fourth Proportional to 52,302.82, 78,487.64 and 19,019.71

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Solution

The fourth proportional to 52,302.82, 78,487.64 and 19,019.71 is: 28,541.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,302.82 : 78,487.64 = 19,019.71 : x
  2. Step 2: Convert to fraction form
    52,302.82/78,487.64 = 19,019.71/x
  3. Step 3: Cross multiply
    52,302.82x = 78,487.64 × 19,019.71
  4. Step 4: Simplify right side
    52,302.82x = 1,492,812,151.38
  5. Step 5: Solve for x
    x = 1,492,812,151.38/52,302.82
  6. Step 6: Final answer
    x = 28,541.71

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1.5x scale

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.