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Finding the Fourth Proportional to 192,646.48, 288,920 and 57,683.92

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Solution

The fourth proportional to 192,646.48, 288,920 and 57,683.92 is: 86,510.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,646.48 : 288,920 = 57,683.92 : x
  2. Step 2: Convert to fraction form
    192,646.48/288,920 = 57,683.92/x
  3. Step 3: Cross multiply
    192,646.48x = 288,920 × 57,683.92
  4. Step 4: Simplify right side
    192,646.48x = 16,666,038,166.40
  5. Step 5: Solve for x
    x = 16,666,038,166.40/192,646.48
  6. Step 6: Final answer
    x = 86,510.99

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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.