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Finding the Fourth Proportional to 98,802.51, 148,203.51 and 76,345.83

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Solution

The fourth proportional to 98,802.51, 148,203.51 and 76,345.83 is: 114,518.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,802.51 : 148,203.51 = 76,345.83 : x
  2. Step 2: Convert to fraction form
    98,802.51/148,203.51 = 76,345.83/x
  3. Step 3: Cross multiply
    98,802.51x = 148,203.51 × 76,345.83
  4. Step 4: Simplify right side
    98,802.51x = 11,314,719,979.86
  5. Step 5: Solve for x
    x = 11,314,719,979.86/98,802.51
  6. Step 6: Final answer
    x = 114,518.55

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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.