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Finding the Fourth Proportional to 117,465, 162,236.28 and 77,358

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Solution

The fourth proportional to 117,465, 162,236.28 and 77,358 is: 106,842.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,465 : 162,236.28 = 77,358 : x
  2. Step 2: Convert to fraction form
    117,465/162,236.28 = 77,358/x
  3. Step 3: Cross multiply
    117,465x = 162,236.28 × 77,358
  4. Step 4: Simplify right side
    117,465x = 12,550,274,148.24
  5. Step 5: Solve for x
    x = 12,550,274,148.24/117,465
  6. Step 6: Final answer
    x = 106,842.67

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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.