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Finding the Fourth Proportional to 208,116.66, 312,158.90 and 58,349

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Solution

The fourth proportional to 208,116.66, 312,158.90 and 58,349 is: 87,518.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,116.66 : 312,158.90 = 58,349 : x
  2. Step 2: Convert to fraction form
    208,116.66/312,158.90 = 58,349/x
  3. Step 3: Cross multiply
    208,116.66x = 312,158.90 × 58,349
  4. Step 4: Simplify right side
    208,116.66x = 18,214,159,656.10
  5. Step 5: Solve for x
    x = 18,214,159,656.10/208,116.66
  6. Step 6: Final answer
    x = 87,518.99

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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.