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Finding the Fourth Proportional to 145,998, 201,477.72 and 78,930.48

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Solution

The fourth proportional to 145,998, 201,477.72 and 78,930.48 is: 108,924.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,998 : 201,477.72 = 78,930.48 : x
  2. Step 2: Convert to fraction form
    145,998/201,477.72 = 78,930.48/x
  3. Step 3: Cross multiply
    145,998x = 201,477.72 × 78,930.48
  4. Step 4: Simplify right side
    145,998x = 15,902,733,148.91
  5. Step 5: Solve for x
    x = 15,902,733,148.91/145,998
  6. Step 6: Final answer
    x = 108,924.32

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1.5x scale

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.