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Finding the Fourth Proportional to 208,595.16, 312,901.80 and 102,068.82

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Solution

The fourth proportional to 208,595.16, 312,901.80 and 102,068.82 is: 153,107.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,595.16 : 312,901.80 = 102,068.82 : x
  2. Step 2: Convert to fraction form
    208,595.16/312,901.80 = 102,068.82/x
  3. Step 3: Cross multiply
    208,595.16x = 312,901.80 × 102,068.82
  4. Step 4: Simplify right side
    208,595.16x = 31,937,517,501.88
  5. Step 5: Solve for x
    x = 31,937,517,501.88/208,595.16
  6. Step 6: Final answer
    x = 153,107.66

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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.