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Finding the Fourth Proportional to 85,703.12, 128,537.40 and 23,368.40

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Solution

The fourth proportional to 85,703.12, 128,537.40 and 23,368.40 is: 35,047.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,703.12 : 128,537.40 = 23,368.40 : x
  2. Step 2: Convert to fraction form
    85,703.12/128,537.40 = 23,368.40/x
  3. Step 3: Cross multiply
    85,703.12x = 128,537.40 × 23,368.40
  4. Step 4: Simplify right side
    85,703.12x = 3,003,713,378.16
  5. Step 5: Solve for x
    x = 3,003,713,378.16/85,703.12
  6. Step 6: Final answer
    x = 35,047.89

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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.