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Finding the Fourth Proportional to 113,465.16, 156,602.91 and 65,718.49

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Solution

The fourth proportional to 113,465.16, 156,602.91 and 65,718.49 is: 90,703.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,465.16 : 156,602.91 = 65,718.49 : x
  2. Step 2: Convert to fraction form
    113,465.16/156,602.91 = 65,718.49/x
  3. Step 3: Cross multiply
    113,465.16x = 156,602.91 × 65,718.49
  4. Step 4: Simplify right side
    113,465.16x = 10,291,706,774.81
  5. Step 5: Solve for x
    x = 10,291,706,774.81/113,465.16
  6. Step 6: Final answer
    x = 90,703.68

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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.