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Finding the Fourth Proportional to 105,130, 157,760.61 and 42,800.50

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Solution

The fourth proportional to 105,130, 157,760.61 and 42,800.50 is: 64,227.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,130 : 157,760.61 = 42,800.50 : x
  2. Step 2: Convert to fraction form
    105,130/157,760.61 = 42,800.50/x
  3. Step 3: Cross multiply
    105,130x = 157,760.61 × 42,800.50
  4. Step 4: Simplify right side
    105,130x = 6,752,232,988.31
  5. Step 5: Solve for x
    x = 6,752,232,988.31/105,130
  6. Step 6: Final answer
    x = 64,227.46

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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.