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Finding the Fourth Proportional to 90,315.81, 135,448.20 and 56,985.93

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Solution

The fourth proportional to 90,315.81, 135,448.20 and 56,985.93 is: 85,462.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,315.81 : 135,448.20 = 56,985.93 : x
  2. Step 2: Convert to fraction form
    90,315.81/135,448.20 = 56,985.93/x
  3. Step 3: Cross multiply
    90,315.81x = 135,448.20 × 56,985.93
  4. Step 4: Simplify right side
    90,315.81x = 7,718,641,643.83
  5. Step 5: Solve for x
    x = 7,718,641,643.83/90,315.81
  6. Step 6: Final answer
    x = 85,462.80

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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.