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Finding the Fourth Proportional to 105,602.51, 158,384.54 and 42,420.08

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Solution

The fourth proportional to 105,602.51, 158,384.54 and 42,420.08 is: 63,622.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,602.51 : 158,384.54 = 42,420.08 : x
  2. Step 2: Convert to fraction form
    105,602.51/158,384.54 = 42,420.08/x
  3. Step 3: Cross multiply
    105,602.51x = 158,384.54 × 42,420.08
  4. Step 4: Simplify right side
    105,602.51x = 6,718,685,359.57
  5. Step 5: Solve for x
    x = 6,718,685,359.57/105,602.51
  6. Step 6: Final answer
    x = 63,622.40

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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.