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Finding the Fourth Proportional to 191,642.79, 287,465.30 and 49,478.36

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Solution

The fourth proportional to 191,642.79, 287,465.30 and 49,478.36 is: 74,217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,642.79 : 287,465.30 = 49,478.36 : x
  2. Step 2: Convert to fraction form
    191,642.79/287,465.30 = 49,478.36/x
  3. Step 3: Cross multiply
    191,642.79x = 287,465.30 × 49,478.36
  4. Step 4: Simplify right side
    191,642.79x = 14,223,309,916.19
  5. Step 5: Solve for x
    x = 14,223,309,916.19/191,642.79
  6. Step 6: Final answer
    x = 74,217.82

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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.