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Finding the Fourth Proportional to 104,976.76, 157,465.16 and 42,647.28

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Solution

The fourth proportional to 104,976.76, 157,465.16 and 42,647.28 is: 63,970.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,976.76 : 157,465.16 = 42,647.28 : x
  2. Step 2: Convert to fraction form
    104,976.76/157,465.16 = 42,647.28/x
  3. Step 3: Cross multiply
    104,976.76x = 157,465.16 × 42,647.28
  4. Step 4: Simplify right side
    104,976.76x = 6,715,460,768.76
  5. Step 5: Solve for x
    x = 6,715,460,768.76/104,976.76
  6. Step 6: Final answer
    x = 63,970.93

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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.