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Finding the Fourth Proportional to 145,492.86, 218,054.25 and 65,445.26

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Solution

The fourth proportional to 145,492.86, 218,054.25 and 65,445.26 is: 98,084.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,492.86 : 218,054.25 = 65,445.26 : x
  2. Step 2: Convert to fraction form
    145,492.86/218,054.25 = 65,445.26/x
  3. Step 3: Cross multiply
    145,492.86x = 218,054.25 × 65,445.26
  4. Step 4: Simplify right side
    145,492.86x = 14,270,615,995.08
  5. Step 5: Solve for x
    x = 14,270,615,995.08/145,492.86
  6. Step 6: Final answer
    x = 98,084.65

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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.