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Finding the Fourth Proportional to 65,346.68, 98,032.79 and 20,970.02

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Solution

The fourth proportional to 65,346.68, 98,032.79 and 20,970.02 is: 31,459.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,346.68 : 98,032.79 = 20,970.02 : x
  2. Step 2: Convert to fraction form
    65,346.68/98,032.79 = 20,970.02/x
  3. Step 3: Cross multiply
    65,346.68x = 98,032.79 × 20,970.02
  4. Step 4: Simplify right side
    65,346.68x = 2,055,749,746.51
  5. Step 5: Solve for x
    x = 2,055,749,746.51/65,346.68
  6. Step 6: Final answer
    x = 31,459.13

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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.