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Finding the Fourth Proportional to 140,513.58, 210,770.73 and 57,407.58

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Solution

The fourth proportional to 140,513.58, 210,770.73 and 57,407.58 is: 86,111.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,513.58 : 210,770.73 = 57,407.58 : x
  2. Step 2: Convert to fraction form
    140,513.58/210,770.73 = 57,407.58/x
  3. Step 3: Cross multiply
    140,513.58x = 210,770.73 × 57,407.58
  4. Step 4: Simplify right side
    140,513.58x = 12,099,837,544.13
  5. Step 5: Solve for x
    x = 12,099,837,544.13/140,513.58
  6. Step 6: Final answer
    x = 86,111.52

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1.5x scale

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.