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Finding the Fourth Proportional to 117,712, 162,445.12 and 64,720

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Solution

The fourth proportional to 117,712, 162,445.12 and 64,720 is: 89,315.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,712 : 162,445.12 = 64,720 : x
  2. Step 2: Convert to fraction form
    117,712/162,445.12 = 64,720/x
  3. Step 3: Cross multiply
    117,712x = 162,445.12 × 64,720
  4. Step 4: Simplify right side
    117,712x = 10,513,448,166.40
  5. Step 5: Solve for x
    x = 10,513,448,166.40/117,712
  6. Step 6: Final answer
    x = 89,315.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.