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Finding the Fourth Proportional to 243,320.64, 364,980.60 and 77,095.68

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Solution

The fourth proportional to 243,320.64, 364,980.60 and 77,095.68 is: 115,643.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,320.64 : 364,980.60 = 77,095.68 : x
  2. Step 2: Convert to fraction form
    243,320.64/364,980.60 = 77,095.68/x
  3. Step 3: Cross multiply
    243,320.64x = 364,980.60 × 77,095.68
  4. Step 4: Simplify right side
    243,320.64x = 28,138,427,543.81
  5. Step 5: Solve for x
    x = 28,138,427,543.81/243,320.64
  6. Step 6: Final answer
    x = 115,643.41

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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.