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Finding the Fourth Proportional to 191,700.72, 287,511.48 and 51,426

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Solution

The fourth proportional to 191,700.72, 287,511.48 and 51,426 is: 77,128.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,700.72 : 287,511.48 = 51,426 : x
  2. Step 2: Convert to fraction form
    191,700.72/287,511.48 = 51,426/x
  3. Step 3: Cross multiply
    191,700.72x = 287,511.48 × 51,426
  4. Step 4: Simplify right side
    191,700.72x = 14,785,565,370.48
  5. Step 5: Solve for x
    x = 14,785,565,370.48/191,700.72
  6. Step 6: Final answer
    x = 77,128.38

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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.