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Finding the Fourth Proportional to 52,390.95, 78,585.65 and 12,948.06

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Solution

The fourth proportional to 52,390.95, 78,585.65 and 12,948.06 is: 19,421.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,390.95 : 78,585.65 = 12,948.06 : x
  2. Step 2: Convert to fraction form
    52,390.95/78,585.65 = 12,948.06/x
  3. Step 3: Cross multiply
    52,390.95x = 78,585.65 × 12,948.06
  4. Step 4: Simplify right side
    52,390.95x = 1,017,531,646.60
  5. Step 5: Solve for x
    x = 1,017,531,646.60/52,390.95
  6. Step 6: Final answer
    x = 19,421.90

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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.