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Finding the Fourth Proportional to 660,065.16, 990,089.10 and 161,433.48

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Solution

The fourth proportional to 660,065.16, 990,089.10 and 161,433.48 is: 242,148.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,065.16 : 990,089.10 = 161,433.48 : x
  2. Step 2: Convert to fraction form
    660,065.16/990,089.10 = 161,433.48/x
  3. Step 3: Cross multiply
    660,065.16x = 990,089.10 × 161,433.48
  4. Step 4: Simplify right side
    660,065.16x = 159,833,528,923.07
  5. Step 5: Solve for x
    x = 159,833,528,923.07/660,065.16
  6. Step 6: Final answer
    x = 242,148.11

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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.