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Finding the Fourth Proportional to 97,090.65, 145,656.77 and 54,990.63

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Solution

The fourth proportional to 97,090.65, 145,656.77 and 54,990.63 is: 82,497.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,090.65 : 145,656.77 = 54,990.63 : x
  2. Step 2: Convert to fraction form
    97,090.65/145,656.77 = 54,990.63/x
  3. Step 3: Cross multiply
    97,090.65x = 145,656.77 × 54,990.63
  4. Step 4: Simplify right side
    97,090.65x = 8,009,757,271.11
  5. Step 5: Solve for x
    x = 8,009,757,271.11/97,090.65
  6. Step 6: Final answer
    x = 82,497.72

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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.