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Finding the Fourth Proportional to 181,483.12, 272,317.80 and 74,946.16

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Solution

The fourth proportional to 181,483.12, 272,317.80 and 74,946.16 is: 112,457.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,483.12 : 272,317.80 = 74,946.16 : x
  2. Step 2: Convert to fraction form
    181,483.12/272,317.80 = 74,946.16/x
  3. Step 3: Cross multiply
    181,483.12x = 272,317.80 × 74,946.16
  4. Step 4: Simplify right side
    181,483.12x = 20,409,173,409.65
  5. Step 5: Solve for x
    x = 20,409,173,409.65/181,483.12
  6. Step 6: Final answer
    x = 112,457.70

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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.