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Finding the Fourth Proportional to 191,282.31, 286,901.60 and 51,030

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Solution

The fourth proportional to 191,282.31, 286,901.60 and 51,030 is: 76,539.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,282.31 : 286,901.60 = 51,030 : x
  2. Step 2: Convert to fraction form
    191,282.31/286,901.60 = 51,030/x
  3. Step 3: Cross multiply
    191,282.31x = 286,901.60 × 51,030
  4. Step 4: Simplify right side
    191,282.31x = 14,640,588,392.85
  5. Step 5: Solve for x
    x = 14,640,588,392.85/191,282.31
  6. Step 6: Final answer
    x = 76,539.17

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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.