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Finding the Fourth Proportional to 201,789, 278,477.46 and 112,365

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Solution

The fourth proportional to 201,789, 278,477.46 and 112,365 is: 155,068.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,789 : 278,477.46 = 112,365 : x
  2. Step 2: Convert to fraction form
    201,789/278,477.46 = 112,365/x
  3. Step 3: Cross multiply
    201,789x = 278,477.46 × 112,365
  4. Step 4: Simplify right side
    201,789x = 31,291,119,792.90
  5. Step 5: Solve for x
    x = 31,291,119,792.90/201,789
  6. Step 6: Final answer
    x = 155,068.51

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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.