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Finding the Fourth Proportional to 91,509.12, 137,040.12 and 56,400.48

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Solution

The fourth proportional to 91,509.12, 137,040.12 and 56,400.48 is: 84,462.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,509.12 : 137,040.12 = 56,400.48 : x
  2. Step 2: Convert to fraction form
    91,509.12/137,040.12 = 56,400.48/x
  3. Step 3: Cross multiply
    91,509.12x = 137,040.12 × 56,400.48
  4. Step 4: Simplify right side
    91,509.12x = 7,729,128,547.26
  5. Step 5: Solve for x
    x = 7,729,128,547.26/91,509.12
  6. Step 6: Final answer
    x = 84,462.93

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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.