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Finding the Fourth Proportional to 178,211.84, 245,932.32 and 97,642.40

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Solution

The fourth proportional to 178,211.84, 245,932.32 and 97,642.40 is: 134,746.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,211.84 : 245,932.32 = 97,642.40 : x
  2. Step 2: Convert to fraction form
    178,211.84/245,932.32 = 97,642.40/x
  3. Step 3: Cross multiply
    178,211.84x = 245,932.32 × 97,642.40
  4. Step 4: Simplify right side
    178,211.84x = 24,013,421,962.37
  5. Step 5: Solve for x
    x = 24,013,421,962.37/178,211.84
  6. Step 6: Final answer
    x = 134,746.50

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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.