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Finding the Fourth Proportional to 145,967.47, 218,871.72 and 65,911.62

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Solution

The fourth proportional to 145,967.47, 218,871.72 and 65,911.62 is: 98,831.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,967.47 : 218,871.72 = 65,911.62 : x
  2. Step 2: Convert to fraction form
    145,967.47/218,871.72 = 65,911.62/x
  3. Step 3: Cross multiply
    145,967.47x = 218,871.72 × 65,911.62
  4. Step 4: Simplify right side
    145,967.47x = 14,426,190,458.16
  5. Step 5: Solve for x
    x = 14,426,190,458.16/145,967.47
  6. Step 6: Final answer
    x = 98,831.55

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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.