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Finding the Fourth Proportional to 140,709.36, 210,729 and 81,420.08

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Solution

The fourth proportional to 140,709.36, 210,729 and 81,420.08 is: 121,936.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,709.36 : 210,729 = 81,420.08 : x
  2. Step 2: Convert to fraction form
    140,709.36/210,729 = 81,420.08/x
  3. Step 3: Cross multiply
    140,709.36x = 210,729 × 81,420.08
  4. Step 4: Simplify right side
    140,709.36x = 17,157,572,038.32
  5. Step 5: Solve for x
    x = 17,157,572,038.32/140,709.36
  6. Step 6: Final answer
    x = 121,936.25

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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.