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Finding the Fourth Proportional to 104,688, 157,060.80 and 30,816

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Solution

The fourth proportional to 104,688, 157,060.80 and 30,816 is: 46,232.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,688 : 157,060.80 = 30,816 : x
  2. Step 2: Convert to fraction form
    104,688/157,060.80 = 30,816/x
  3. Step 3: Cross multiply
    104,688x = 157,060.80 × 30,816
  4. Step 4: Simplify right side
    104,688x = 4,839,985,612.80
  5. Step 5: Solve for x
    x = 4,839,985,612.80/104,688
  6. Step 6: Final answer
    x = 46,232.48

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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.