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Finding the Fourth Proportional to 98,210.88, 147,316.32 and 42,768

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Solution

The fourth proportional to 98,210.88, 147,316.32 and 42,768 is: 64,152

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,210.88 : 147,316.32 = 42,768 : x
  2. Step 2: Convert to fraction form
    98,210.88/147,316.32 = 42,768/x
  3. Step 3: Cross multiply
    98,210.88x = 147,316.32 × 42,768
  4. Step 4: Simplify right side
    98,210.88x = 6,300,424,373.76
  5. Step 5: Solve for x
    x = 6,300,424,373.76/98,210.88
  6. Step 6: Final answer
    x = 64,152

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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.