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Finding the Fourth Proportional to 288,087.84, 432,147.96 and 77,742.18

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Solution

The fourth proportional to 288,087.84, 432,147.96 and 77,742.18 is: 116,617.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,087.84 : 432,147.96 = 77,742.18 : x
  2. Step 2: Convert to fraction form
    288,087.84/432,147.96 = 77,742.18/x
  3. Step 3: Cross multiply
    288,087.84x = 432,147.96 × 77,742.18
  4. Step 4: Simplify right side
    288,087.84x = 33,596,124,492.95
  5. Step 5: Solve for x
    x = 33,596,124,492.95/288,087.84
  6. Step 6: Final answer
    x = 116,617.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.