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Finding the Fourth Proportional to 58,732, 81,117.45 and 38,678.50

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Solution

The fourth proportional to 58,732, 81,117.45 and 38,678.50 is: 53,420.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,732 : 81,117.45 = 38,678.50 : x
  2. Step 2: Convert to fraction form
    58,732/81,117.45 = 38,678.50/x
  3. Step 3: Cross multiply
    58,732x = 81,117.45 × 38,678.50
  4. Step 4: Simplify right side
    58,732x = 3,137,501,289.83
  5. Step 5: Solve for x
    x = 3,137,501,289.83/58,732
  6. Step 6: Final answer
    x = 53,420.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.