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Finding the Fourth Proportional to 145,836, 201,253.82 and 78,768

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Solution

The fourth proportional to 145,836, 201,253.82 and 78,768 is: 108,699.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,836 : 201,253.82 = 78,768 : x
  2. Step 2: Convert to fraction form
    145,836/201,253.82 = 78,768/x
  3. Step 3: Cross multiply
    145,836x = 201,253.82 × 78,768
  4. Step 4: Simplify right side
    145,836x = 15,852,360,499.92
  5. Step 5: Solve for x
    x = 15,852,360,499.92/145,836
  6. Step 6: Final answer
    x = 108,699.91

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