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Finding the Fourth Proportional to 201,421.40, 277,955.94 and 110,777.34

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Solution

The fourth proportional to 201,421.40, 277,955.94 and 110,777.34 is: 152,869.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,421.40 : 277,955.94 = 110,777.34 : x
  2. Step 2: Convert to fraction form
    201,421.40/277,955.94 = 110,777.34/x
  3. Step 3: Cross multiply
    201,421.40x = 277,955.94 × 110,777.34
  4. Step 4: Simplify right side
    201,421.40x = 30,791,219,670.40
  5. Step 5: Solve for x
    x = 30,791,219,670.40/201,421.40
  6. Step 6: Final answer
    x = 152,869.65

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1.5x scale

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.