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Finding the Fourth Proportional to 212,365.84, 318,594.88 and 64,618

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Solution

The fourth proportional to 212,365.84, 318,594.88 and 64,618 is: 96,941.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,365.84 : 318,594.88 = 64,618 : x
  2. Step 2: Convert to fraction form
    212,365.84/318,594.88 = 64,618/x
  3. Step 3: Cross multiply
    212,365.84x = 318,594.88 × 64,618
  4. Step 4: Simplify right side
    212,365.84x = 20,586,963,955.84
  5. Step 5: Solve for x
    x = 20,586,963,955.84/212,365.84
  6. Step 6: Final answer
    x = 96,941.03

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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.