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Finding the Fourth Proportional to 52,393, 78,603.90 and 15,457

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Solution

The fourth proportional to 52,393, 78,603.90 and 15,457 is: 23,189.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,393 : 78,603.90 = 15,457 : x
  2. Step 2: Convert to fraction form
    52,393/78,603.90 = 15,457/x
  3. Step 3: Cross multiply
    52,393x = 78,603.90 × 15,457
  4. Step 4: Simplify right side
    52,393x = 1,214,980,482.30
  5. Step 5: Solve for x
    x = 1,214,980,482.30/52,393
  6. Step 6: Final answer
    x = 23,189.75

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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.